Let for all real

MATHEMATICS · Subjective · A Level · Mathematics · Integration · Integration

Problem

Let f(x)=3x2f(x)=3x^{2} for all real xx. A function FF satisfies F′(x)=f(x)F'(x)=f(x) and F(1)=4F(1)=4. Determine the value of F(3)F(3).

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